Now that I see a picture of your quilt I can't see where just putting on a binding would be a problem. If it was cutting off points then it would be noticeable but with this pattern it won't make a difference. I usually use a 3/8" seam on my bindings and I would even do that here. If someone gets out a tape measure to measure the width of some of your strips then they need to get a life.
Go for it. Bind your quilt and enjoy it.